A Delay Decomposition Approach to the Stability Analysis of Singular Systems with Interval Time-Varying Delay

Table 2

Allowable upper bound 𝑑₂ with given 𝑑₁ for different 𝜇.

𝑑1	Methods	𝜇=0	𝜇=0.3	𝜇=0.7
0.3	Lin and Fei [28]	1.0660	1.0310	1.0290
	Jiao [29]	1.1075	1.0607	1.0607
	Theorem 4	1.1095	1.0704	1.0704
	Theorem 6 (𝑁=3)	1.1122	1.0729	1.0729
0.6	Lin and Fei [28]	1.0660	1.0420	1.0420
	Jiao [29]	1.1075	1.0679	1.0679
	Theorem 4	1.1166	1.0727	1.0727
	Theorem 6 (𝑁=3)	1.1184	1.0748	1.0748
1.1	Lin and Fei [28]	—	—	—
	Jiao [29]	1.1075	1.1066	1.1066
	Theorem 4	1.1078	1.1066	1.1066
	Theorem 6 (𝑁=3)	1.1155	1.1133	1.1133